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1090056240 = 24325713127131
BaseRepresentation
bin100000011111000…
…1111000000110000
32210222010121001100
41000332033000300
54213023244430
6300055404400
736004216350
oct10076170060
92728117040
101090056240
1150a343429
12265083700
13144aab8c0
14a4ab0b60
1565a6e960
hex40f8f030

1090056240 has 480 divisors, whose sum is σ = 4575707136. Its totient is φ = 226437120.

The previous prime is 1090056229. The next prime is 1090056271. The reversal of 1090056240 is 426500901.

1090056240 is a `hidden beast` number, since 10 + 90 + 0 + 562 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8320975 + ... + 8321105.

Almost surely, 21090056240 is an apocalyptic number.

1090056240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287853568).

1090056240 is an abundant number, since it is smaller than the sum of its proper divisors (3485650896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1090056240 is a wasteful number, since it uses less digits than its factorization.

1090056240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1090056240 is about 33015.9997576932. Note that the first 3 decimals coincide. The cubic root of 1090056240 is about 1029.1601662586.

The spelling of 1090056240 in words is "one billion, ninety million, fifty-six thousand, two hundred forty".